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Finding the Third Proportional to 1,300 and 3,241

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Solution

The third proportional to 1,300 and 3,241 is: 8,080.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300 : 3,241 = 3,241 : x
  2. Step 2: Convert to fraction form
    1,300/3,241 = 3,241/x
  3. Step 3: Cross multiply
    1,300x = 3,241 × 3,241
  4. Step 4: Simplify right side
    1,300x = 10,504,081
  5. Step 5: Solve for x
    x = 10,504,081/1,300
  6. Step 6: Final answer
    x = 8,080.06

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.